Weighted Average Calculator
Compute the weighted mean of values with individual weights or frequencies.
About Weighted Average Calculator
The weighted average multiplies each value by its corresponding weight, sums those products, and divides by the total weight. Unlike a simple mean, values with higher weights contribute more to the result.
Formula
Weighted Average
Weighted Average = Σ(value × weight) / Σ(weights)
- xᵢ
- Each data value
- wᵢ
- The weight for value i
- n
- Number of values
Worked example
With the default values below, Weighted Average Calculator returns Weighted Average of 86.3000. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Values (comma separated)
- 85, 90, 78, 92
- Weights (comma separated)
- 3, 4, 2, 1
Results
- Weighted Average
- 86.3000
- Weighted Sum
- 863.0000
- Total Weight
- 10.00
Step by step
- 1Multiply each value by its weight
- 2Sum of weighted values= 863
- 3Sum of weights= 10
- 4Divide weighted sum by total weight= 86.300000
Assumptions and limits
- The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
When should I use a weighted average instead of a simple average?
Use it when values have different importance, frequency, or reliability. Common examples: GPA (credits as weights), portfolio returns (investment amounts as weights), and survey data (sample sizes as weights).
What if all weights are equal?
When all weights are equal, the weighted average reduces to the simple arithmetic mean.